Question

Matrix A=(02βγαβγαβγ)A = \begin{pmatrix} 0 & 2\beta & \gamma \\ \alpha & \beta & -\gamma \\ \alpha & -\beta & \gamma \end{pmatrix} is orthogonal. The values of α,β\alpha, \beta and γ\gamma respectively are

MCQ

±13,±12,±16\pm \sqrt{\frac{1}{3}}, \pm \sqrt{\frac{1}{2}}, \pm \sqrt{\frac{1}{6}}

±13,±16,±12\pm \sqrt{\frac{1}{3}}, \pm \sqrt{\frac{1}{6}}, \pm \sqrt{\frac{1}{2}}

±16,±13,±12\pm \sqrt{\frac{1}{6}}, \pm \sqrt{\frac{1}{3}}, \pm \sqrt{\frac{1}{2}}

±12,±16,±13\pm \sqrt{\frac{1}{2}}, \pm \sqrt{\frac{1}{6}}, \pm \sqrt{\frac{1}{3}}

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